3x^2+30x+719=0

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Solution for 3x^2+30x+719=0 equation:


Simplifying
3x2 + 30x + 719 = 0

Reorder the terms:
719 + 30x + 3x2 = 0

Solving
719 + 30x + 3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
239.6666667 + 10x + x2 = 0

Move the constant term to the right:

Add '-239.6666667' to each side of the equation.
239.6666667 + 10x + -239.6666667 + x2 = 0 + -239.6666667

Reorder the terms:
239.6666667 + -239.6666667 + 10x + x2 = 0 + -239.6666667

Combine like terms: 239.6666667 + -239.6666667 = 0.0000000
0.0000000 + 10x + x2 = 0 + -239.6666667
10x + x2 = 0 + -239.6666667

Combine like terms: 0 + -239.6666667 = -239.6666667
10x + x2 = -239.6666667

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -239.6666667 + 25

Reorder the terms:
25 + 10x + x2 = -239.6666667 + 25

Combine like terms: -239.6666667 + 25 = -214.6666667
25 + 10x + x2 = -214.6666667

Factor a perfect square on the left side:
(x + 5)(x + 5) = -214.6666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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